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Finding the Third Proportional to 4,182 and 6,105

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Solution

The third proportional to 4,182 and 6,105 is: 8,912.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,182 : 6,105 = 6,105 : x
  2. Step 2: Convert to fraction form
    4,182/6,105 = 6,105/x
  3. Step 3: Cross multiply
    4,182x = 6,105 × 6,105
  4. Step 4: Simplify right side
    4,182x = 37,271,025
  5. Step 5: Solve for x
    x = 37,271,025/4,182
  6. Step 6: Final answer
    x = 8,912.25

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.